2484192000 has 288 divisors, whose sum is σ = 8360614080. Its totient is φ = 653721600.

The previous prime is 2484191977. The next prime is 2484192017. The reversal of 2484192000 is 2914842.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10847886 + ... + 10848114.

It is an arithmetic number, because the mean of its divisors is an integer number (29029910).

Almost surely, 2^2484192000 is an apocalyptic number.

2484192000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2484192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180307040).

2484192000 is an abundant number, since it is smaller than the sum of its proper divisors (5876422080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2484192000 is a wasteful number, since it uses less digits than its factorization.

2484192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2484192000 is about 49841.6693139385. The cubic root of 2484192000 is about 1354.3421233273.

The spelling of 2484192000 in words is "two billion, four hundred eighty-four million, one hundred ninety-two thousand".